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Volumn 15, Issue 1-2, 2008, Pages 91-113

Uniform decay for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping

Author keywords

Klein Gordon Schr dinger; Localized damping

Indexed keywords


EID: 44449148736     PISSN: 10219722     EISSN: 14209004     Source Type: Journal    
DOI: 10.1007/s00030-007-6025-9     Document Type: Article
Times cited : (23)

References (28)
  • 1
    • 0001448373 scopus 로고
    • Problème de Cauchy pour des systèmes hyperboliques semi-linéares
    • A. BACHELOT, Problème de Cauchy pour des systèmes hyperboliques semi-linéares, Ann. Inst. H. Poincaré Anal, non Linéaire 1 (1984), 453-478.
    • (1984) Ann. Inst. H. Poincaré Anal, non Linéaire , vol.1 , pp. 453-478
    • BACHELOT, A.1
  • 3
    • 44449142734 scopus 로고    scopus 로고
    • Boundary stabilization of the linear elastodynamic system by a Lyapunov type method
    • R. BEY, A. HEMINNA and J.-P. LOHAC, Boundary stabilization of the linear elastodynamic system by a Lyapunov type method, Rev. Mat. Complut. 16(2) (2003), 417-441.
    • (2003) Rev. Mat. Complut , vol.16 , Issue.2 , pp. 417-441
    • BEY, R.1    HEMINNA, A.2    LOHAC, J.-P.3
  • 5
    • 44449171768 scopus 로고    scopus 로고
    • Attractor for the dissipative generalized KleinGordon-Schrödinger equations
    • B. GUO and Y. LI, Attractor for the dissipative generalized KleinGordon-Schrödinger equations, J. Partial Differ. Equations 11(3) (1998), 260-272.
    • (1998) J. Partial Differ. Equations , vol.11 , Issue.3 , pp. 260-272
    • GUO, B.1    LI, Y.2
  • 6
    • 0037673448 scopus 로고    scopus 로고
    • Asymptotic smoothing effect of solutions to weakly dissipative Klein-Gordon-Schrödinger equations
    • B. GUO and Y. LI, Asymptotic smoothing effect of solutions to weakly dissipative Klein-Gordon-Schrödinger equations, J. Math. Anal. Appl. 282 (2003), 256-265.
    • (2003) J. Math. Anal. Appl , vol.282 , pp. 256-265
    • GUO, B.1    LI, Y.2
  • 7
    • 0348246754 scopus 로고    scopus 로고
    • Global existence and uniform decay for the coupled Klein-Gordon-Schrödinger equations, NoDEA
    • M. CAVALCANTI and V. DOMINGOS CAVALCANTI, Global existence and uniform decay for the coupled Klein-Gordon-Schrödinger equations, NoDEA, Nonlinear differ, equ. appl. 7 (2000), 285-307.
    • (2000) Nonlinear differ, equ. appl , vol.7 , pp. 285-307
    • CAVALCANTI, M.1    DOMINGOS CAVALCANTI, V.2
  • 8
    • 4043150663 scopus 로고    scopus 로고
    • Frictional versus viscoelastic damping in a semilinear wave equation
    • M. M. CAVALCANTI and H. P. OQUENDO, Frictional versus viscoelastic damping in a semilinear wave equation. SIAM J. Control Optim. 42(4) (2003), 1310-1324
    • (2003) SIAM J. Control Optim , vol.42 , Issue.4 , pp. 1310-1324
    • CAVALCANTI, M.M.1    OQUENDO, H.P.2
  • 10
    • 0000228722 scopus 로고
    • On coupled Klein-Gordon-Schrödinger equations II
    • I. FUKUDA and M. TSUTSUMI, On coupled Klein-Gordon-Schrödinger equations II, J. Math. Analysis Applic. 66 (1978), 358-378.
    • (1978) J. Math. Analysis Applic , vol.66 , pp. 358-378
    • FUKUDA, I.1    TSUTSUMI, M.2
  • 11
    • 0007150049 scopus 로고
    • On coupled Klein-Gordon Schrödinger equations III-Higher order interaction, decay and blow-up
    • I. FUKUDA and M. TSUTSUMI, On coupled Klein-Gordon Schrödinger equations III-Higher order interaction, decay and blow-up, Math. Japonica 24 (1979), 307-321.
    • (1979) Math. Japonica , vol.24 , pp. 307-321
    • FUKUDA, I.1    TSUTSUMI, M.2
  • 12
    • 0345943684 scopus 로고
    • On the Yukawa-coupled Klein-Gordon- Schödinger equations in three space dimensions
    • I. FUKUDA and M. TSUTSUMI, On the Yukawa-coupled Klein-Gordon- Schödinger equations in three space dimensions, Proc. Japan Acad. 51 (1975), 402-405.
    • (1975) Proc. Japan Acad , vol.51 , pp. 402-405
    • FUKUDA, I.1    TSUTSUMI, M.2
  • 13
    • 44449086699 scopus 로고
    • Semi-groupes linaires et quations d'volution linaires priodiques. Universit Pierre et Marie Curie, Laboratoire d'Analyse Numrique
    • A. HARAUX, Semi-groupes linaires et quations d'volution linaires priodiques. Universit Pierre et Marie Curie, Laboratoire d'Analyse Numrique. Prplication 78011 (1978)
    • (1978) Prplication , pp. 78011
    • HARAUX, A.1
  • 14
    • 84972538859 scopus 로고
    • On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
    • N. HAYASHI and W. VON WAHL, On the global strong solutions of coupled Klein-Gordon-Schrödinger equations, J. Math. Soc. Japan 39 (1987), 489-497.
    • (1987) J. Math. Soc. Japan , vol.39 , pp. 489-497
    • HAYASHI, N.1    VON WAHL, W.2
  • 15
    • 0001490384 scopus 로고    scopus 로고
    • Observabilit frontire de l'quation des ondes
    • L. F. HO, Observabilit frontire de l'quation des ondes, C. R. Acad. Sci. Paris Sr. I Math. 302, 443-446.
    • C. R. Acad. Sci. Paris Sr. I Math , vol.302 , pp. 443-446
    • HO, L.F.1
  • 17
    • 0000881888 scopus 로고
    • Decay of solutions of wave equations in a bounded region with boundary dissipation
    • J. LAGNESE, Decay of solutions of wave equations in a bounded region with boundary dissipation. J. Diff. Equations 50 (1983), 163-182.
    • (1983) J. Diff. Equations , vol.50 , pp. 163-182
    • LAGNESE, J.1
  • 18
    • 0345917648 scopus 로고    scopus 로고
    • Regularity of the global attractor for the Klein-Gordon-Schrödinger equation
    • H. LANGE and B. WANG, Regularity of the global attractor for the Klein-Gordon-Schrödinger equation, Math. Methods Appl. Sci. 22(17) (1999), 1535-1554.
    • (1999) Math. Methods Appl. Sci , vol.22 , Issue.17 , pp. 1535-1554
    • LANGE, H.1    WANG, B.2
  • 19
    • 0348195716 scopus 로고    scopus 로고
    • Attractors for the Klein-Gordon-Schrödinger equation
    • H. LANGE and B. WANG, Attractors for the Klein-Gordon-Schrödinger equation, J. Math. Phys. 40(5) (1999), 2445-2457.
    • (1999) J. Math. Phys , vol.40 , Issue.5 , pp. 2445-2457
    • LANGE, H.1    WANG, B.2
  • 20
    • 84972506618 scopus 로고
    • Uniform boundary stabilization of semilinear wave equation with nonlinear boundary dissipation
    • I. LASIECKA and D. TATARU, Uniform boundary stabilization of semilinear wave equation with nonlinear boundary dissipation, Diff. and Integral Equations 6 (1993), 507-533.
    • (1993) Diff. and Integral Equations , vol.6 , pp. 507-533
    • LASIECKA, I.1    TATARU, D.2
  • 24
    • 34147171744 scopus 로고    scopus 로고
    • Regularity of the attractor for a coupled Klein-Gordon-Schrödinger system
    • A. MOSTAFA, O. GOUBET and A. HAKIM, Regularity of the attractor for a coupled Klein-Gordon-Schrödinger system, Diff. Integal Equ. 16(5) (2003), 573-581.
    • (2003) Diff. Integal Equ , vol.16 , Issue.5 , pp. 573-581
    • MOSTAFA, A.1    GOUBET, O.2    HAKIM, A.3
  • 25
    • 0030212514 scopus 로고    scopus 로고
    • Stability of Stationary States for the Coupled Klein-Gordon-Schrödinger Equations, Nonlinear Analysis, Theory
    • M. OHTA, Stability of Stationary States for the Coupled Klein-Gordon-Schrödinger Equations, Nonlinear Analysis, Theory, Methods and Appl. 27(4) (1996), 455-461.
    • (1996) Methods and Appl , vol.27 , Issue.4 , pp. 455-461
    • OHTA, M.1
  • 27
    • 0002728548 scopus 로고
    • On the interaction of elementary particles I
    • H. YUKAWA, On the interaction of elementary particles I, Proc. Physico-Math. Soc. Japan 17 (1935), 48-57.
    • (1935) Proc. Physico-Math. Soc. Japan , vol.17 , pp. 48-57
    • YUKAWA, H.1
  • 28
    • 0000976025 scopus 로고
    • Exponential decay for the semilinear wave equation with locally distributed damping
    • E. ZUAZUA, Exponential decay for the semilinear wave equation with locally distributed damping, Commun. Partial Differential Equations 15(2) (1990), 205-235.
    • (1990) Commun. Partial Differential Equations , vol.15 , Issue.2 , pp. 205-235
    • ZUAZUA, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.